LogX+Log(X+6)=Log(12X)

Simple and best practice solution for LogX+Log(X+6)=Log(12X) equation. Check how easy it is, and learn it for the future. Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.

If it's not what You are looking for type in the equation solver your own equation and let us solve it.

Solution for LogX+Log(X+6)=Log(12X) equation:


Simplifying
LogX + Log(X + 6) = Log(12X)

Reorder the terms:
goLX + goL(6 + X) = Log(12X)
goLX + (6 * goL + X * goL) = Log(12X)
goLX + (6goL + goLX) = Log(12X)

Reorder the terms:
6goL + goLX + goLX = Log(12X)

Combine like terms: goLX + goLX = 2goLX
6goL + 2goLX = Log(12X)

Remove parenthesis around (12X)
6goL + 2goLX = goL * 12X

Reorder the terms for easier multiplication:
6goL + 2goLX = 12goL * X

Multiply goL * X
6goL + 2goLX = 12goLX

Solving
6goL + 2goLX = 12goLX

Solving for variable 'g'.

Move all terms containing g to the left, all other terms to the right.

Add '-12goLX' to each side of the equation.
6goL + 2goLX + -12goLX = 12goLX + -12goLX

Combine like terms: 2goLX + -12goLX = -10goLX
6goL + -10goLX = 12goLX + -12goLX

Combine like terms: 12goLX + -12goLX = 0
6goL + -10goLX = 0

Factor out the Greatest Common Factor (GCF), '2goL'.
2goL(3 + -5X) = 0

Ignore the factor 2.

Subproblem 1

Set the factor 'goL' equal to zero and attempt to solve: Simplifying goL = 0 Solving goL = 0 Move all terms containing g to the left, all other terms to the right. Simplifying goL = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Subproblem 2

Set the factor '(3 + -5X)' equal to zero and attempt to solve: Simplifying 3 + -5X = 0 Solving 3 + -5X = 0 Move all terms containing g to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -5X = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -5X = 0 + -3 -5X = 0 + -3 Combine like terms: 0 + -3 = -3 -5X = -3 Add '5X' to each side of the equation. -5X + 5X = -3 + 5X Combine like terms: -5X + 5X = 0 0 = -3 + 5X Simplifying 0 = -3 + 5X The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.

See similar equations:

| -3/(-2.5 | | 14=y/3+2 | | x^2-8x+9x=2 | | 4u-7=-27 | | 4b-12=84 | | (2b+5c)(3b+8c)= | | (2+3m)-9=-7 | | 2x-3x+5=30 | | y/2-14=6 | | a/5-2=-12 | | 3a-14=18 | | 6+4x-2x+12=20 | | 3(t+1)=3(2+-3) | | 1.2=log*4x-2*log*t | | 18=v/3-10 | | -3(x)=4x+7 | | 7-5i= | | 52=2v+14 | | x+26=5x+6 | | 200-3/8 | | (X-3)(x-3)+(2x+1)(2x+1)= | | 8-4(p+2)=2(p-1)-11p+17 | | y=8(2x-3) | | 5x+10=11x+3 | | [18-4]= | | 10(sinx)+6=0 | | 180.4x+2=56.8 | | [-1.4]+[2.3]= | | -17=4w+2w-18 | | 2y+98=9y+7 | | 7x+13=68 | | 2m=1/3*m-z=0 |

Equations solver categories